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Finding the Fourth Proportional to 1,907.38, 2,861.26 and 520.73

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Solution

The fourth proportional to 1,907.38, 2,861.26 and 520.73 is: 781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.38 : 2,861.26 = 520.73 : x
  2. Step 2: Convert to fraction form
    1,907.38/2,861.26 = 520.73/x
  3. Step 3: Cross multiply
    1,907.38x = 2,861.26 × 520.73
  4. Step 4: Simplify right side
    1,907.38x = 1,489,939.04
  5. Step 5: Solve for x
    x = 1,489,939.04/1,907.38
  6. Step 6: Final answer
    x = 781.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.